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AVprozaik
2 months ago
6

A 16\dfrac1216 2 1 ​ 16, start fraction, 1, divided by, 2, end fraction kilometer stretch of road needs repairs. Workers can rep

air 2\dfrac142 4 1 ​ 2, start fraction, 1, divided by, 4, end fraction kilometer of road per week. How many weeks will it take to repair this stretch of road?
Mathematics
1 answer:
lawyer [12.5K]2 months ago
7 0

Answer:

The repair of the stretch of road will require

weeks to finish.7\frac{1}{3}

Step-by-step explanation:

Provided:

Length of the roads needing repair =

Length of the road workers can fix in a week = 16\frac{1}{2}\ km

To ascertain how many weeks it will take to mend this road stretch.2\frac{1}{4}\ km

Solution:

Worker's road repair rate =   per week.

Overall road length to repair =

2\frac{1}{4}\ km

The time required to repair 16\frac{1}{2}\ km

of road by the workers can be calculated: 16\frac{1}{2}\ km⇒

When dividing mixed numbers, we change them first into fractions.\frac{16\frac{1}{2}\ km}{2\frac{1}{4}\ km}

To compute fraction division, we take the reciprocal of the divisor and substitute division with multiplication:

⇒  \frac{\frac{33}{2}} {\frac{9}{4}}

We revert the fraction back into a mixed number.

Thus, it will take

weeks to complete the road repair task.\frac{33}{2}\times \frac{4}{9}

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zzz [12365]

Step-by-step explanation:

Begin with expressing 492,623 in standard form.

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2 months ago
A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
lawyer [12517]

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In order for the product to function, all four probabilities must succeed, hence:

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P(Part-1) = 0.96

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P(Functioning Product) = 0.903

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2 months ago
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